We're dividing 369268 by 61 
We want to figure out the number of times 369268 can be divided by 61.

Let's proceed to step 1:
The number 61 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (6) from the dividend, add it to 3, then carry on: 36 / 61

Moving on to step 2:
The number 61 fits into 36 0 times, leaving a remainder of 36.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 36 after subtracting 0 from 36.
Include the next digit (9) from the dividend after 36, then repeat: 369 / 61

On to step 3:
The number 61 fits into 369 6 times, leaving a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 366 away from 369, we end up with 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 61

Moving on to step 4:
The number 61 fits into 32 0 times, leaving a remainder of 32.
Use 0 as the next digit of our solution. 
Result so far: 60.0
If we take 0 away from 32, we end up with 32.
Take the next digit (6) from the dividend and append it to 32, then repeat: 326 / 61

Step 5:
61 can be fit into 326 5 times, resulting in a remainder of 21.
Use 5 as the next digit of our solution. 
Result so far: 605.0
Subtracting 305 from 326 leaves us with 21.
Grab the next digit (8) from the dividend, add it to 21, then carry on: 218 / 61

On to step 6:
218 divided by 61 is 3 with a remainder of 35.
Put 3 as the next digit of the answer. 
Result so far: 6053.0
Subtract 183 from 218 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 7:
350 divided by 61 is 5 with a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 6053.5
Subtracting 305 from 350 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
When dividing 450 by 61, we get 7 with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 6053.57
The remainder is 23 after subtracting 427 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 9:
If we divide 230 by 61, we get 3 and a remainder of 47.
The next digit of our result is 3. 
Result so far: 6053.573
Subtracting 183 from 230 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 10:
When dividing 470 by 61, we get 7 with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 6053.5737
Deduct 427 from 470 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 11:
The number 61 fits into 430 7 times, leaving a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 6053.57377
Subtract 427 from 430 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final result is 6053.57377 with a remainder of 3e-06.